{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "real_alpha = 51.6\n",
    "img = cv2.imread('sti_imgs/fai=%s.png' % str(real_alpha))\n",
    "# img = cv2.imread('sti/test.jpg')\n",
    "img = cv2.cvtColor(img, cv2.COLOR_BGR2GRAY)\n",
    "\n",
    "length = min(img.shape[0], img.shape[1])\n",
    "length = length if length % 2 == 0 else length -1\n",
    "img = img[0:length, 0:length]\n",
    "\n",
    "plt.imshow(img, 'gray')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x19cbeaefc88>"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_f = np.fft.fft2(img)\n",
    "img_ac = np.fft.fftshift(np.fft.ifft2(np.abs(img_f) ** 2))\n",
    "width, height = img_ac.shape\n",
    "img_ac_show = abs(img_ac)\n",
    "img_ac_show = img_ac_show / img_ac_show[width // 2][height // 2]\n",
    "\n",
    "plt.imshow(img_ac_show, 'gray')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x19cc5d51b88>"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_f_real = np.real(img_f)\n",
    "img_f_real = cv2.normalize(img_f_real, None, 0, 255, cv2.NORM_MINMAX)\n",
    "plt.imshow(img_f_real, 'gray')"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x19cc5dd0a88>"
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": "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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img_ac1 = cv2.filter2D(img, -1, img, anchor=(-1, -1))\n",
    "plt.imshow(img_ac1, 'gray')"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [],
   "source": [
    "# center = (width / 2, height / 2)\n",
    "# maxRadius = width / 2 * np.sqrt(2)\n",
    "# img_ac_polar = cv2.linearPolar(img_ac_show, center, maxRadius,\n",
    "#                                cv2.WARP_FILL_OUTLIERS + cv2.INTER_LINEAR)\n",
    "# plt.imshow(img_ac_polar, 'gray')"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "outputs": [
    {
     "data": {
      "text/plain": "<matplotlib.image.AxesImage at 0x200f50f4d48>"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from LinearPolar import RecTangle2Polar\n",
    "theta_num = 180\n",
    "img_ac_polar = RecTangle2Polar(img_ac_show, [width//2, theta_num])\n",
    "plt.imshow(img_ac_polar, 'gray')"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "real_fai=51.60, cal_fai=50.00\n"
     ]
    }
   ],
   "source": [
    "mu = {}\n",
    "for i in range(img_ac_polar.shape[0]):\n",
    "    mu_temp = sum(img_ac_polar[i, :]) - (img_ac_polar[i, 0] + img_ac_polar[i, img_ac_polar.shape[1]-1]) / 2\n",
    "    mu[i] = mu_temp\n",
    "\n",
    "mu_ordered = sorted(mu.items(), key = lambda x:x[1], reverse=True)\n",
    "fai = 90 - list(mu_ordered)[0][0] * 360 / theta_num % 90\n",
    "print('real_fai=%.2f, cal_fai=%.2f' % (real_alpha, fai))"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.107099543408505\n"
     ]
    }
   ],
   "source": [
    "NTI = mu_ordered[0][1] / mu_ordered[len(mu_ordered)-1][1]\n",
    "print(NTI)"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}